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ALGORITHMICA
2010
155views more  ALGORITHMICA 2010»
13 years 7 months ago
Bin Packing with Rejection Revisited
We consider the following generalization of bin packing. Each item is associated with a size bounded by 1, as well as a rejection cost, that an algorithm must pay if it chooses not...
Leah Epstein
IFIP
2004
Springer
14 years 28 days ago
Solving Packing Problem with Weaker Block Solvers
We study the general packing problem with M constraints. In [Jansen and Zhang, TCS 2002] a c(1 + ε)-approximation algorithm for the general packing problem was proposed. A block s...
Hu Zhang
SODA
2001
ACM
110views Algorithms» more  SODA 2001»
13 years 9 months ago
Improved approximation algorithms for rectangle tiling and packing
We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE and d-RPACK) studied in the literature. Our algorithms are highly eff...
Piotr Berman, Bhaskar DasGupta, S. Muthukrishnan, ...
MFCS
2005
Springer
14 years 1 months ago
Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing
We study simple greedy approximation algorithms for general class of integer packing problems. We provide a novel analysis based on the duality theory of linear programming. This e...
Piotr Krysta
WADS
2009
Springer
378views Algorithms» more  WADS 2009»
14 years 2 months ago
Two for One: Tight Approximation of 2D Bin Packing
In this paper, we study the two-dimensional geometrical bin packing problem (2DBP): given a list of rectangles, provide a packing of all these into the smallest possible number of ...
Klaus Jansen, Lars Prädel, Ulrich M. Schwarz